Second Order Optimality Consitions For Nonsmooth Multiobjective Optimization Problems
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Second-Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems
In this paper second-order necessary optimality conditions for nonsmooth vector optimization problems are given by smooth approximations. We extend to the vector case the approach introduced by Ermoliev, Norkin and Wets to define generalized derivatives for discontinuous functions as limit of the classical derivatives of regular functions.
Traces and Emergence of Nonlinear Programming
Author: Giorgio Giorgi
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-12-04
The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. Of particular interest is W. Karush's often quoted Master Thesis, which is published for the first time. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming.
Optimality Conditions in Vector Optimization
Author: Manuel Arana Jiménez
language: en
Publisher: Bentham Science Publishers
Release Date: 2010
Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the improvements in vector optimization in mathematical programming. The aim of this Ebook is to present the latest developments in vector optimization. The contributions have been written by some of the most eminent researchers in this field of mathematical programming. The Ebook is considered essential for researchers and students in this field.